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Finding the Third Proportional to 46,707 and 70,545

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Solution

The third proportional to 46,707 and 70,545 is: 106,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,707 : 70,545 = 70,545 : x
  2. Step 2: Convert to fraction form
    46,707/70,545 = 70,545/x
  3. Step 3: Cross multiply
    46,707x = 70,545 × 70,545
  4. Step 4: Simplify right side
    46,707x = 4,976,597,025
  5. Step 5: Solve for x
    x = 4,976,597,025/46,707
  6. Step 6: Final answer
    x = 106,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.